Solve x-x-5/4=x-3/2-5/4

$$x- \frac{ x-5 }{ 4 } = \frac{ x-3 }{ 2 } - \frac{ 5 }{ 4 }$$

Solve for x

$$x=-16$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$4x-\left(x-5\right)=2\left(x-3\right)-5$$

To find the opposite of x-5, find the opposite of each term.

$$4x-x-\left(-5\right)=2\left(x-3\right)-5$$

The opposite of -5 is 5.

$$4x-x+5=2\left(x-3\right)-5$$

Combine 4x and -x to get 3x.

$$3x+5=2\left(x-3\right)-5$$

Use the distributive property to multiply 2 by x-3.

$$3x+5=2x-6-5$$

Subtract 5 from -6 to get -11.

$$3x+5=2x-11$$

Subtract 2x from both sides.

$$3x+5-2x=-11$$

Combine 3x and -2x to get x.

$$x+5=-11$$

Subtract 5 from both sides.

$$x=-11-5$$

Subtract 5 from -11 to get -16.

$$x=-16$$